Józef Tracz had the following finishes at major championships – 1987 World Championship: 74.0 kg. Greco-Roman (2nd); 1993 World Championship: 74.0 kg. Greco-Roman (2nd); 1994 World Championship: 74.0 kg. Greco-Roman (2nd); 1991 World Championship: 74.0 kg. Greco-Roman (5th); 1995 World Championship: 74.0 kg. Greco-Roman (7th); 1997 World Championship: 76.0 kg. Greco-Roman (7th); 1989 World Championship: 74.0 kg. Greco-Roman (8th); 1998 World Championship: 76.0 kg. Greco-Roman (20th); 1988 European Championship: 74.0 kg. Greco-Roman (4th); 1990 European Championship: 74.0 kg. Greco-Roman (4th); 1989 European Championship: 74.0 kg. Greco-Roman (5th); 1992 European Championship: 82.0 kg. Greco-Roman (7th); 1996 European Championship: 74.0 kg. Greco-Roman (22nd).
Poland